37442161 has 9 divisors (see below), whose sum is σ = 38962443. Its totient is φ = 35979720.

The previous prime is 37442159. The next prime is 37442191. The reversal of 37442161 is 16124473.

The square root of 37442161 is 6119.

It is a perfect power (a square), and thus also a powerful number.

37442161 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 19633761 + 17808400 = 4431^2 + 4220^2 .

It is not a de Polignac number, because 37442161 - 2¹ = 37442159 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (37442101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 177346 + ... + 177556.

Almost surely, 2^37442161 is an apocalyptic number.

37442161 is the 6119-th square number.

37442161 is the 3060-th centered octagonal number and also the 2737-th centered decagonal number.

It is an amenable number.

37442161 is a deficient number, since it is larger than the sum of its proper divisors (1520282).

37442161 is an frugal number, since it uses more digits than its factorization.

37442161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The cubic root of 37442161 is about 334.5443005698.

The spelling of 37442161 in words is "thirty-seven million, four hundred forty-two thousand, one hundred sixty-one".